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Finding the Fourth Proportional to 752.69, 1,128.13 and 341.42

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Solution

The fourth proportional to 752.69, 1,128.13 and 341.42 is: 511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.69 : 1,128.13 = 341.42 : x
  2. Step 2: Convert to fraction form
    752.69/1,128.13 = 341.42/x
  3. Step 3: Cross multiply
    752.69x = 1,128.13 × 341.42
  4. Step 4: Simplify right side
    752.69x = 385,159.65
  5. Step 5: Solve for x
    x = 385,159.65/752.69
  6. Step 6: Final answer
    x = 511.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.